
with the cut off for the photon energy \(E_\gamma >1.6\)  GeV.
The precise evaluation of the SM prediction with QCD corrections have been performed at NLO [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]} and at NNLO [10]}, [11]}.
Effects of the charged Higgs boson loop contributions for \(B \rightarrow X_s \gamma \)  with NLO QCD  [12]}, [13]}, [14]}, [15]}, [16]} and NNLO QCD [17]}, [18]}, [11]} have been investigated in the 2HDMs (Also, see the evaluation in Type II 3HDM, in Ref. [20]}).
We evaluate \( {\rm BR}(B \rightarrow X_s \gamma )\)  for our model by the linearized formula given in Ref. [11]}:
\({\rm BR}(B \rightarrow X_s \gamma )=(3.4\pm 0.17)\times 10^{-4}-8.25\Delta C_7-2.10\Delta C_8,\) 
